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GCD of 780, 509, 875, 685 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 780, 509, 875, 685 quickly. Get the easiest ways to solve the greatest common divisor of 780, 509, 875, 685 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 509, 875, 685 with Factoring?

Given Input numbers are 780, 509, 875, 685

In the factoring method, we have to find the divisors of all numbers

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685


GCD of numbers is the greatest common divisor

So, the GCD (780, 509, 875, 685) = 1.

Find GCD of 780, 509, 875, 685 using Prime Factorization

Given numbers are 780, 509, 875, 685

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 509 are 509

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 685 are 5 x 137

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 780, 509, 875, 685 using LCM Formula

Given numbers are 780, 509, 875, 685

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(780, 509) = 397020

GCD(780, 509) = ( 780 x 509 ) / 397020

= 780 / 509

= 780


Step2:

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

= 1 / 875

= 1


Step3:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1


So, Greatest Common Divisor of 780, 509, 875, 685 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 509, 875, 685

Given numbers are 780, 509, 875, 685
The greatest common divisor of numbers 780, 509, 875, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 509, 875, 685 is 1.

FAQs on GCD of 780, 509, 875, 685 Calculator

1. What is the GCD of 780, 509, 875, 685?

GCD of given numbers 780, 509, 875, 685 is 1


2. How to calculate the greatest common divisor of 780, 509, 875, 685?

We can find the highest common divisor of 780, 509, 875, 685 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 780, 509, 875, 685 i.e 1.


3. How can I use the GCD of 780, 509, 875, 685Calculator?

Out the numbers 780, 509, 875, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.